Search a number
-
+
82714041 = 35340387
BaseRepresentation
bin1001110111000…
…01110110111001
312202122022100000
410323201312321
5132133322131
612112503213
72023025544
oct473416671
9182568300
1082714041
1142765313
122384ab09
13141a0827
14adb185b
1573dcce6
hex4ee1db9

82714041 has 12 divisors (see below), whose sum is σ = 123901232. Its totient is φ = 55142532.

The previous prime is 82714013. The next prime is 82714063. The reversal of 82714041 is 14041728.

It is not a de Polignac number, because 82714041 - 26 = 82713977 is a prime.

It is a super-2 number, since 2×827140412 = 13683225157099362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82713996 and 82714014.

It is not an unprimeable number, because it can be changed into a prime (82714001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169951 + ... + 170436.

Almost surely, 282714041 is an apocalyptic number.

82714041 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82714041 is a deficient number, since it is larger than the sum of its proper divisors (41187191).

82714041 is an equidigital number, since it uses as much as digits as its factorization.

82714041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340402 (or 340390 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 82714041 is about 9094.7259991712. The cubic root of 82714041 is about 435.7055375728.

Adding to 82714041 its reverse (14041728), we get a palindrome (96755769).

The spelling of 82714041 in words is "eighty-two million, seven hundred fourteen thousand, forty-one".

Divisors: 1 3 9 27 81 243 340387 1021161 3063483 9190449 27571347 82714041